Magma V2.19-8 Tue Aug 20 2013 23:40:18 on localhost [Seed = 3481905998] Type ? for help. Type -D to quit. Loading file "K12n282__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n282 geometric_solution 10.53723504 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 1 -1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -1 0 -1 2 2 0 0 -2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.427551205076 0.403545223414 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 -1 1 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.406742669962 0.391644960970 6 0 8 7 0132 0132 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.766667362598 1.382110404237 9 6 8 0 0132 1302 0213 0132 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.693661118459 0.600664722815 10 11 0 11 0132 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 -2 2 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.521199645388 0.490450056029 6 1 11 9 1023 0132 3120 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.303691286732 1.542927308951 2 5 1 3 0132 1023 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.316646323695 1.169926862908 10 9 2 1 2031 3201 2031 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 1 1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.446973584188 1.160891041190 10 3 10 2 1023 0213 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.134358561667 0.667520751978 3 5 7 11 0132 2310 2310 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.223450564687 0.507701163430 4 8 7 8 0132 1023 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.722645091481 0.902167974177 9 4 5 4 3012 0132 3120 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 -1 0 1 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.521199645388 0.490450056029 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_5']), 'c_1001_10' : d['c_0101_1'], 'c_1001_5' : d['c_0101_5'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_0']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_1001_1']), 'c_1001_8' : d['c_0101_2'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : d['c_0101_2'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_3']), 'c_0101_10' : negation(d['c_0011_7']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_7'], 'c_1100_8' : d['c_0101_7'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_1001_2'], 'c_1100_7' : negation(d['c_1001_0']), 'c_1100_6' : negation(d['c_1001_0']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_1001_2'], 'c_1100_3' : d['c_1001_2'], 'c_1100_2' : d['c_0101_7'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_5']), 'c_1100_10' : d['c_0101_7'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_3']), 'c_1010_8' : d['c_1001_2'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_7'], 'c_0110_10' : d['c_0101_1'], 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_10'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : negation(d['c_0011_7']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_7, c_1001_0, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 163589044991266/19809855663025*c_1001_2^11 - 658674476559169/19809855663025*c_1001_2^10 + 905595057210973/19809855663025*c_1001_2^9 + 124336152709229/3961971132605*c_1001_2^8 - 1274069940755642/19809855663025*c_1001_2^7 - 2098930446838072/19809855663025*c_1001_2^6 + 3275058709004847/19809855663025*c_1001_2^5 - 365832004882/67152053095*c_1001_2^4 - 919784321540702/19809855663025*c_1001_2^3 - 310184296380897/19809855663025*c_1001_2^2 + 722775677624888/19809855663025*c_1001_2 - 192695830695271/19809855663025, c_0011_0 - 1, c_0011_10 + 6793428/4128623*c_1001_2^11 - 26674530/4128623*c_1001_2^10 + 35985426/4128623*c_1001_2^9 + 26359166/4128623*c_1001_2^8 - 48502099/4128623*c_1001_2^7 - 84138123/4128623*c_1001_2^6 + 126390019/4128623*c_1001_2^5 - 10263649/4128623*c_1001_2^4 - 37545401/4128623*c_1001_2^3 - 8732600/4128623*c_1001_2^2 + 28179813/4128623*c_1001_2 - 5364690/4128623, c_0011_3 + 8647616/4128623*c_1001_2^11 - 38785268/4128623*c_1001_2^10 + 61722020/4128623*c_1001_2^9 + 18286025/4128623*c_1001_2^8 - 90688177/4128623*c_1001_2^7 - 90074433/4128623*c_1001_2^6 + 230781726/4128623*c_1001_2^5 - 54339954/4128623*c_1001_2^4 - 66029564/4128623*c_1001_2^3 + 263886/4128623*c_1001_2^2 + 41327040/4128623*c_1001_2 - 16306888/4128623, c_0011_7 - 7766258/4128623*c_1001_2^11 + 31988497/4128623*c_1001_2^10 - 47558599/4128623*c_1001_2^9 - 21486270/4128623*c_1001_2^8 + 62050411/4128623*c_1001_2^7 + 81656365/4128623*c_1001_2^6 - 169733753/4128623*c_1001_2^5 + 44930112/4128623*c_1001_2^4 + 50789391/4128623*c_1001_2^3 + 2933262/4128623*c_1001_2^2 - 39802252/4128623*c_1001_2 + 10786062/4128623, c_0101_0 - 6609550/4128623*c_1001_2^11 + 26059253/4128623*c_1001_2^10 - 34664712/4128623*c_1001_2^9 - 27388319/4128623*c_1001_2^8 + 49819355/4128623*c_1001_2^7 + 84287140/4128623*c_1001_2^6 - 122688837/4128623*c_1001_2^5 + 1424454/4128623*c_1001_2^4 + 35737943/4128623*c_1001_2^3 + 4540909/4128623*c_1001_2^2 - 21403152/4128623*c_1001_2 + 2919500/4128623, c_0101_1 + 2566248/4128623*c_1001_2^11 - 9653482/4128623*c_1001_2^10 + 12139571/4128623*c_1001_2^9 + 10617027/4128623*c_1001_2^8 - 13727279/4128623*c_1001_2^7 - 34881289/4128623*c_1001_2^6 + 35879881/4128623*c_1001_2^5 - 1391210/4128623*c_1001_2^4 - 709120/4128623*c_1001_2^3 - 3964704/4128623*c_1001_2^2 + 6343026/4128623*c_1001_2 - 1947948/4128623, c_0101_2 - 11529998/4128623*c_1001_2^11 + 47170075/4128623*c_1001_2^10 - 67523021/4128623*c_1001_2^9 - 38143931/4128623*c_1001_2^8 + 92798739/4128623*c_1001_2^7 + 134756157/4128623*c_1001_2^6 - 239287252/4128623*c_1001_2^5 + 30978659/4128623*c_1001_2^4 + 64148441/4128623*c_1001_2^3 + 10628870/4128623*c_1001_2^2 - 45501049/4128623*c_1001_2 + 11889515/4128623, c_0101_5 + 7846998/4128623*c_1001_2^11 - 33103975/4128623*c_1001_2^10 + 47994819/4128623*c_1001_2^9 + 26856900/4128623*c_1001_2^8 - 73459382/4128623*c_1001_2^7 - 95020105/4128623*c_1001_2^6 + 180955541/4128623*c_1001_2^5 - 14994456/4128623*c_1001_2^4 - 60426982/4128623*c_1001_2^3 - 10558575/4128623*c_1001_2^2 + 34139534/4128623*c_1001_2 - 7189633/4128623, c_0101_7 - 14225250/4128623*c_1001_2^11 + 59958657/4128623*c_1001_2^10 - 89301001/4128623*c_1001_2^9 - 40225133/4128623*c_1001_2^8 + 123095715/4128623*c_1001_2^7 + 159369928/4128623*c_1001_2^6 - 315950955/4128623*c_1001_2^5 + 59485161/4128623*c_1001_2^4 + 77565099/4128623*c_1001_2^3 + 7856998/4128623*c_1001_2^2 - 57156227/4128623*c_1001_2 + 18161271/4128623, c_1001_0 + 6609550/4128623*c_1001_2^11 - 26059253/4128623*c_1001_2^10 + 34664712/4128623*c_1001_2^9 + 27388319/4128623*c_1001_2^8 - 49819355/4128623*c_1001_2^7 - 84287140/4128623*c_1001_2^6 + 122688837/4128623*c_1001_2^5 - 1424454/4128623*c_1001_2^4 - 35737943/4128623*c_1001_2^3 - 4540909/4128623*c_1001_2^2 + 21403152/4128623*c_1001_2 - 2919500/4128623, c_1001_1 - 2195128/4128623*c_1001_2^11 + 9034250/4128623*c_1001_2^10 - 14284593/4128623*c_1001_2^9 - 4129892/4128623*c_1001_2^8 + 17190787/4128623*c_1001_2^7 + 15637203/4128623*c_1001_2^6 - 48190004/4128623*c_1001_2^5 + 21586496/4128623*c_1001_2^4 + 17429247/4128623*c_1001_2^3 - 2756240/4128623*c_1001_2^2 - 7843274/4128623*c_1001_2 - 822467/4128623, c_1001_2^12 - 9/2*c_1001_2^11 + 15/2*c_1001_2^10 + c_1001_2^9 - 19/2*c_1001_2^8 - 17/2*c_1001_2^7 + 51/2*c_1001_2^6 - 11*c_1001_2^5 - 9/2*c_1001_2^4 + 3/2*c_1001_2^3 + 4*c_1001_2^2 - 5/2*c_1001_2 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.960 Total time: 3.169 seconds, Total memory usage: 64.12MB